In: Economics
On a remote tropical island paradise there are only two consumers—Robinson and Friday. A primary consumption product in this economy is coconuts, but Robinson and Friday have different individual demands. Robinson is quite fond of coconuts, particularly for the milk; his demand function is:
qR =60−3P
where P is the price of coconuts (measured in terms of conch
shells, the primary cur-
rency). Friday does not like coconuts as much as Robinson; his demand function is:qF =30−2P.
(a) After a great deal of careful estimation, a team of economists has estimated coconut supply on the island as:
P = 0.4Q.
What do you expect the equilibrium price of coconuts to be if the
coconut market
is competitive?
(b) How many coconuts do Robinson and Friday consume, respectively?
(c) How much better off is Robinson than Friday under this arrangement? HINT: comparing consumer surplus might be a good way to begin your response.
(d) How do your answers to (b) and (c) change if Friday unexpectedly finds a conch midden (a big pile of conch shells), which effectively changes his coconut demand function to qF′ = 100 − 4P ?
(e) One way to interpret Friday’s change in demand in (d) is as an income effect. How does Friday’s additional income and his resulting demand for coconuts tell you about the characteristic of coconuts as a good? Your answer can be qualitative but should be precise. HINT: page 2-15 in the text.